Solve the Initial-Value Problem $\frac { d y } { d t } = 2 t y ^ { 2 } + 3 y ^ { 2 }$

question 7

Multiple Choice

Solve the initial-value problem $\frac { d y } { d t } = 2 t y ^ { 2 } + 3 y ^ { 2 }$ , $y ( 0 ) = 1$ . Then use your solution to evaluate $y ( 1 )$ .

• A) \(- 3\)
• B)1
• C) \(- \frac { 1 } { 3 }\)
• D) \(\frac { 1 } { 3 }\)
• E)0
• F)3
• G) \(- \frac { 1 } { 5 }\)
• H) \(\frac { 1 } { 5 }\)

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